405141400 has 48 divisors (see below), whose sum is σ = 944906040. Its totient is φ = 161548800.

The previous prime is 405141367. The next prime is 405141403. The reversal of 405141400 is 4141504.

It is a super-4 number, since 4×405141400⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405141403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64395 + ... + 70405.

Almost surely, 2^405141400 is an apocalyptic number.

405141400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472453020).

405141400 is an abundant number, since it is smaller than the sum of its proper divisors (539764640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405141400 is a wasteful number, since it uses less digits than its factorization.

405141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 405141400 is about 20128.1246021580. The cubic root of 405141400 is about 739.9497165736.

Adding to 405141400 its reverse (4141504), we get a palindrome (409282904).

It can be divided in two parts, 40514 and 1400, that added together give a palindrome (41914).

The spelling of 405141400 in words is "four hundred five million, one hundred forty-one thousand, four hundred".